Title
Some methods for evaluating the optimality of elements in matroids with ill-known weights
Abstract
In this paper a class of matroidal combinatorial optimization problems with imprecise weights of elements is considered. The imprecise weights are modeled by intervals and fuzzy intervals. The concepts of possible and necessary optimality under imprecision are recalled. Some efficient methods for evaluating the possible and necessary optimality of elements in the interval-valued problems are proposed. Some efficient algorithms for computing the exact degrees of possible and necessary optimality of elements in the fuzzy-valued problems are designed.
Year
DOI
Venue
2009
10.1016/j.fss.2008.11.013
Fuzzy Sets and Systems
Keywords
Field
DocType
fuzzy interval,possibility theory,efficient method,imprecise weight,efficient algorithm,fuzzy-valued problem,matroid,necessary optimality,combinatorial optimization,ill-known weight,matroidal combinatorial optimization problem,gradual number,exact degree,interval-valued problem
Matroid,Mathematical optimization,Information processing,Combinatorial optimization problem,Fuzzy logic,Fuzzy set,Possibility theory,Combinatorial optimization,Fuzzy control system,Mathematics
Journal
Volume
Issue
ISSN
160
10
Fuzzy Sets and Systems
Citations 
PageRank 
References 
2
0.42
7
Authors
3
Name
Order
Citations
PageRank
Jérôme Fortin111410.94
Adam Kasperski235233.64
Paweł Zieliński327419.73